Finite Group DatabasebetaFinite Group DatabasebetaOrder 21568.
120 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 41 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #24924957 | C2 | semidirect |
| 5. #24924888 | C2 | semidirect |
| 6. #24924882 | C2 | semidirect |
| 7. #103×C337 | C2 | semidirect |
| 47. Dic337 | SD16 | semidirect |
| 52. C337 | #461 | semidirect |
| 60. #103 | D337 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19129174 | 2 |
| C2×#19129172 | 2 |
| #24924957 | 2 |
| #24924921 | 2 |
| #24924888 | 2 |
| #24924882 | 2 |
| #103×C337 | 2 |
| #461 | 337 |